'Massive' perturbative QCD, Regular in the IR limit
| Autor: | D. V. Shirkov |
|---|---|
| Rok vydání: | 2013 |
| Předmět: |
High Energy Physics - Theory
Physics Nuclear and High Energy Physics Particle physics Radiation Series (mathematics) Glueball FOS: Physical sciences Perturbative QCD Atomic and Molecular Physics and Optics High Energy Physics - Phenomenology High Energy Physics - Phenomenology (hep-ph) High Energy Physics - Theory (hep-th) Simple (abstract algebra) High Energy Physics::Experiment Radiology Nuclear Medicine and imaging Sum rule in quantum mechanics Perturbation theory (quantum mechanics) Limit (mathematics) Nuclear Experiment Ansatz |
| Zdroj: | Physics of Particles and Nuclei Letters. 10:186-192 |
| ISSN: | 1531-8567 1547-4771 |
| Popis: | The goal of research is to devise a modification of the perturbative QCD that should be regular in the low-energy region and could serve as a practical means for the analysis of data below 1 \GeV up to the IR limit. Recent observation of the four-loop pQCD series "blow-up" in the region below 1 \GeV for the Bjorken Sum Rule gave an impetus to this attempt. The proposed {\sf "massive analytic pQCD"} is constructed on the two grounds. The first is the pQCD with only one parameter added, the effective "glueball mass" $m_{gl}\lesssim 1 \GeV,$ serving as an IR regulator. The second stems out of the ghost-free Analytic Perturbation Theory comprising non-power perturbative expansion that makes it compatible with linear integral transformations. In short, the proposed MAPT differs from the minimal APT by simple ansatz $Q^2 \to Q^2+m_{gl}^2.$ Comment: 10 pages, 4 figures; few editing corrections, additional Ansatz (A) on the top of page 4, 6 references and second Appendix with 2 figures added. This version will be published in PEPAN Lett. Vol 10 (2013) |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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